Table of Contents
- 1 How many perfect squares are there between 1 and 15?
- 2 How many two digit numbers are such that the product of their digits is a perfect square greater than 1?
- 3 What will be the total number of two digit numbers which have only 3 factors including 1 )?
- 4 What is the principal root of 81?
- 5 How many ways can you arrange n unlike objects in a line?
- 6 How do you make a magic square with an odd number?
How many perfect squares are there between 1 and 15?
Answer: There are three perfect squares between 1 to 15 . They are 1 , 4 , 9.
How many two digit numbers are such that the product of their digits is a perfect square greater than 1?
Counting the above digit we get a total of 17. So, there are 17 two-digit numbers whose sum of digits is a perfect square.
What are 2 perfect squares?
A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer. For example, 25 is a perfect square because it is the product of integer 5 by itself, 5 × 5 = 25….List of Perfect Square Numbers.
Natural Number | Perfect Square |
---|---|
2 | 4 |
3 | 9 |
4 | 16 |
5 | 25 |
What are squares of 1 15?
Square, Cube, Square Root and Cubic Root for Numbers Ranging 0 – 100
Number x | Square x2 | Square Root x1/2 |
---|---|---|
12 | 144 | 3.464 |
13 | 169 | 3.606 |
14 | 196 | 3.742 |
15 | 225 | 3.873 |
What will be the total number of two digit numbers which have only 3 factors including 1 )?
16,25,36,49,64,81. So our answer is 6.
What is the principal root of 81?
Interactive Questions
True | |
---|---|
The square root of 81 is a rational number. | TrueTrue – The square root of 81 is a rational number. |
The third root of 81 is 9. | TrueTrue – The third root of 81 is 9. |
81 is the square of 9. | TrueTrue – 81 is the square of 9. |
-9 is not a root of 81. | TrueTrue – -9 is not a root of 81. |
How do you find the number of ways to arrange an object?
Arranging Objects. The number of ways of arranging n unlike objects in a line is n! (pronounced ‘n factorial’). n! = n × (n – 1) × (n – 2) ×…× 3 × 2 × 1. Example. How many different ways can the letters P, Q, R, S be arranged? The answer is 4! = 24. This is because there are four spaces to be filled: _, _, _, _
How do you find perfect square numbers from a graph?
First list up all the perfect square numbers which we can get by adding two numbers. We can get at max (2*n-1). so we will take only the squares up to (2*n-1). 2. Take an adjacency matrix to represent the graph. 3. For each number from 1 to n find out numbers with which it can add upto a perfect square number.
How many ways can you arrange n unlike objects in a line?
This section covers permutations and combinations. The number of ways of arranging n unlike objects in a line is n! (pronounced ‘n factorial’). n! = n × (n – 1) × (n – 2) ×…× 3 × 2 × 1
How do you make a magic square with an odd number?
There is a general, very simple, algorithm for generating any magic square which has an odd number of rows/columns as follows: Start in the middle of the top row and enter 1. Move Up 1 and Right 1 wrapping both vertically and horizontally when you leave the grid * (see note below).